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Convolution Neural Networks on Graphs are important generalization and extension of classical CNNs. While previous works generally assumed that the graph structures of samples are regular with unified dimensions, in many applications, they…

Machine Learning · Computer Science 2017-08-17 Ruoyu Li , Junzhou Huang

Graph Convolutional Networks (GCNs) have been widely demonstrated their powerful ability in graph data representation and learning. Existing graph convolution layers are mainly designed based on graph signal processing and transform aspect…

Computer Vision and Pattern Recognition · Computer Science 2022-04-27 Ziyan Zhang , Bo Jiang , Bin Luo

Graph Convolutional Networks (GCNs) and their variants have experienced significant attention and have become the de facto methods for learning graph representations. GCNs derive inspiration primarily from recent deep learning approaches,…

Machine Learning · Computer Science 2019-06-21 Felix Wu , Tianyi Zhang , Amauri Holanda de Souza , Christopher Fifty , Tao Yu , Kilian Q. Weinberger

Graph convolution is the core of most Graph Neural Networks (GNNs) and usually approximated by message passing between direct (one-hop) neighbors. In this work, we remove the restriction of using only the direct neighbors by introducing a…

Social and Information Networks · Computer Science 2022-04-06 Johannes Gasteiger , Stefan Weißenberger , Stephan Günnemann

Graph neural networks (GNNs) have demonstrated significant promise in modelling relational data and have been widely applied in various fields of interest. The key mechanism behind GNNs is the so-called message passing where information is…

Machine Learning · Computer Science 2023-10-31 Andi Han , Dai Shi , Lequan Lin , Junbin Gao

Collaborative Filtering (CF) is one of the most successful approaches for recommender systems. With the emergence of online social networks, social recommendation has become a popular research direction. Most of these social recommendation…

Information Retrieval · Computer Science 2019-07-12 Le Wu , Peijie Sun , Richang Hong , Yanjie Fu , Xiting Wang , Meng Wang

Graph Convolutional Networks (GCNs) have attracted more and more attentions in recent years. A typical GCN layer consists of a linear feature propagation step and a nonlinear transformation step. Recent works show that a linear GCN can…

Machine Learning · Computer Science 2021-10-29 Yifei Wang , Yisen Wang , Jiansheng Yang , Zhouchen Lin

Recommender systems rely on Collaborative Filtering (CF) to predict user preferences by leveraging patterns in historical user-item interactions. While traditional CF methods primarily focus on learning compact vector embeddings for users…

Information Retrieval · Computer Science 2025-01-29 Darnbi Sakong , Thanh Trung Huynh , Jun Jo

There has been a growing interest in developing diffusion-based Graph Neural Networks (GNNs), building on the connections between message passing mechanisms in GNNs and physical diffusion processes. However, existing methods suffer from…

Machine Learning · Computer Science 2025-08-18 Asela Hevapathige , Asiri Wijesinghe , Ahad N. Zehmakan

Graph Neural Networks (GNNs) are limited in their expressive power, struggle with long-range interactions and lack a principled way to model higher-order structures. These problems can be attributed to the strong coupling between the…

Machine Learning · Computer Science 2022-02-01 Cristian Bodnar , Fabrizio Frasca , Nina Otter , Yu Guang Wang , Pietro Liò , Guido Montúfar , Michael Bronstein

Graph Neural Networks (GNNs) are proficient in graph representation learning and achieve promising performance on versatile tasks such as node classification and link prediction. Usually, a comprehensive hyperparameter tuning is essential…

Machine Learning · Computer Science 2024-10-10 Lequan Lin , Dai Shi , Andi Han , Zhiyong Wang , Junbin Gao

Graph structural information such as topologies or connectivities provides valuable guidance for graph convolutional networks (GCNs) to learn nodes' representations. Existing GCN models that capture nodes' structural information weight in-…

Machine Learning · Computer Science 2021-07-22 Yunxiang Zhao , Jianzhong Qi , Qingwei Liu , Rui Zhang

Graph Convolutional Networks (GCNs) have shown strong performance in learning text representations for various tasks such as text classification, due to its expressive power in modeling graph structure data (e.g., a literature citation…

Computation and Language · Computer Science 2023-05-12 Zhibin Lu , Qianqian Xie , Benyou Wang , Jian-yun Nie

Graph representation learning resurges as a trending research subject owing to the widespread use of deep learning for Euclidean data, which inspire various creative designs of neural networks in the non-Euclidean domain, particularly…

Convolutional neural networks (CNNs) are the cutting edge model for supervised machine learning in computer vision. In recent years CNNs have outperformed traditional approaches in many computer vision tasks such as object detection, image…

Neural and Evolutionary Computing · Computer Science 2016-03-01 Nitzan Guberman

Important advances have been made using convolutional neural network (CNN) approaches to solve complicated problems in areas that rely on grid structured data such as image processing and object classification. Recently, research on graph…

Machine Learning · Statistics 2018-08-24 Matthew Baron

The analogy to heat diffusion has enhanced our understanding of information flow in graphs and inspired the development of Graph Neural Networks (GNNs). However, most diffusion-based GNNs emulate passive heat diffusion, which still suffers…

Machine Learning · Computer Science 2025-10-23 Mengying Jiang

In recent years, new neural network architectures designed to operate on graph-structured data have pushed the state-of-the-art in the field. A large set of these architectures utilize a form of classical random walks to diffuse…

Quantum Physics · Physics 2018-06-18 Stefan Dernbach , Arman Mohseni-Kabir , Siddharth Pal , Don Towsley , Miles Gepner

As a powerful tool for modeling complex relationships, hypergraphs are gaining popularity from the graph learning community. However, commonly used frameworks in deep hypergraph learning focus on hypergraphs with edge-independent vertex…

Machine Learning · Computer Science 2022-07-26 Jiying Zhang , Fuyang Li , Xi Xiao , Tingyang Xu , Yu Rong , Junzhou Huang , Yatao Bian

Graph convolutional networks (GCNs) are a widely used method for graph representation learning. To elucidate the capabilities and limitations of GCNs, we investigate their power, as a function of their number of layers, to distinguish…

Machine Learning · Statistics 2020-05-14 Abram Magner , Mayank Baranwal , Alfred O. Hero